Pre-Algebra
Colorado State Standard 2: Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems.
Assignments for each chapter will include:
- Daily assignments
- Weekly CSAP review
- Chapter quizzes and tests
In Pre-Algebra, students will study the following.
Chapter 1 - How tall is an iceberg? Students will use “Variables, Expressions, and Integers” to represent data.
The following topics will be presented.
Expressions and variables
Powers and exponents
Order of Operations
Comparing and ordering integers
Operations with integers
Coordinate plane
Chapter 2 - How far can an athlete run in 10 seconds. Students will use the skills in “Solving Equations” to find out.
The following topics will be presented.
Properties and operations
Distributive property
Variables and equations
Decimal operations
Time for a Chapter project!! Students will measure with a ruler. They will write and solve an equation and convert between units of measurement.
Chapter 3 - At what wind speeds do wind turbines produce power? Students will use “Multi-step Equations and Inequalities” to find out.
The following topics will be presented.
Solving equations requiring two steps and combining like terms
Solving equations with variables on both sides of the equal sign
Solving inequalities
Chapter 4 - How far away are the stars? Students will use “Factors, Fractions and Exponents” to express the answer.
The following topics will be presented.
Factors and prime factorization
Greatest common factor and least common multiple
Equivalent fractions
Rules of exponents
Negative exponents and zero as an exponsent
Scientific notation
Chapter 5 - How can you compare bison populations? Students will use “Rational Numbers and Equations” to find out.
The following topics will be presented.
Rational numbers
Operations with rational numbers
Solving equations with rational numbers
Chapter 6 - How are the dimensions of a scale model related to the dimensions of an actual building? Students will use “Ratio, Proportion, and Probability” to find out.
The following topics will be presented.
Ratio and rates
Writing and solving proportions
Similar and congruent figures
Scale drawings
Probability and odds
The Counting Principle
Time for a Chapter Project!! Students will write and solve proportions, sketch models, and relate proportions to real world situations.
Chapter 7 - How can find the sale price of an item? Students will use “Percents” to find out.
The following topics will be presented.
Percents and fractions, proportions, and decimals
Percent equation
Percent of change
Percent applications
Simple interest
Chapter 8 - How can you use math to express the steepness of a bike trail? Students will use “Linear Functions” to find out.
The following topics will be presented.
Relations and functions
Linear functions
Slope of a line
Function notation
Systems and graphs of linear equations and inequalities
Chapter 9 - How do architects use right triangles? Students will use “Real Numbers and Right Triangles” to find out.
The following topics will be presented.
Square roots and simplification of square roots
The Pythagorean Theorem
Real numbers
Distance and midpoint
Special right triangles
Tangent
Sine and cosine
Time for a chapter project!! Students will design a ramp and will investigate the rise and run of the ramp using the Pythagorean Theorem. They will calculate the slope of the ramp and create a scale drawing of the ramp.
Chapter 10 - How does the size of a drum affect its sound? Students will use “Measurement, Area, and Volume” to find out.
The following topics will be presented.
Polygons
Area of parallelograms and trapezoids
Circumference and area of a circle
Surface areas of prisms and cylinders
Volumes of prisms, cylinders, prisms, and cones
Chapter 11 - What types of dogs do people prefer as pets? Students will use “Data Analysis and Probability” to find out.
The following topics will be presented.
Stem and leaf plots and histograms
Box and whisker plots
Collecting and interpreting data
Permutations and combinations
Independent and dependent events
Time for a chapter project! Students will write unbiased survey questions, choose a sample, and conduct the survey. Students will create a data display for their results.
Chapter 12 - How can you use math to describe the path of a stream of water in a fountain? Students will use “Polynomials and Nonlinear Functions” to find out.
The following topics will be presented.
Polynomials
Operations with polynomials
Quadratic functions
Sequences
Chapter 13 - What kinds of patterns do kaleidoscopes produce? Students will use “Angle Relationships and Transformations” to find out.
The following topics will be presented.
Angle relationships
Angles and parallel lines
Angles and polygons
Translations
Reflections and symmetry
Rations and symmetry
Dilations
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